Characterising hyperbolic hyperplanes of a non-singular quadric in PG(4,q)

Barwick, SG; Hui, AMW; Jackson, W-A; Schillewaert, Jeroen

dc.contributor.author	Barwick, SG	en
dc.contributor.author	Hui, AMW	en
dc.contributor.author	Jackson, W-A	en
dc.contributor.author	Schillewaert, Jeroen	en
dc.date.accessioned	2019-10-08T08:45:42Z	en
dc.date.issued	2019	en
dc.identifier.issn	1573-7586	en
dc.identifier.uri	http://hdl.handle.net/2292/48468	en
dc.description.abstract	Let H be a non-empty set of hyperplanes in PG(4, q), q even, such that every point of PG(4, q) lies in either 0, 1 2 q3 or 1 2 (q3 + q2) hyperplanes of H, and every plane of PG(4, q) lies in 0 or at least 1 2 q hyperplanes of H. Then H is the set of all hyperplanes which meet a given non-singular quadric Q(4, q) in a hyperbolic quadric.	en
dc.publisher	Springer (part of Springer Nature)	en
dc.relation.ispartofseries	Designs, Codes and Cryptography	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.subject	math.CO	en
dc.subject	math.CO	en
dc.title	Characterising hyperbolic hyperplanes of a non-singular quadric in PG(4,q)	en
dc.type	Journal Article	en
dc.identifier.doi	10.1007/s10623-019-00669-y	en
pubs.volume	online first	en
dc.rights.holder	Copyright: The author	en
pubs.author-url	http://arxiv.org/abs/1906.04932v1	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	775405	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
pubs.arxiv-id	1906.04932	en
pubs.record-created-at-source-date	2019-08-05	en
pubs.online-publication-date	2019-08-01	en